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Men’s heights are normally distributed with a mean of 69.0 inches and a standard deviation of...

Men’s heights are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches.

a) What is the probability that a man selected at random is at least 72 inches tall? Round the answer to 4 decimal places.

b) The Mark VI monorail used at Disney World has doors with a height of 72 inches. What doorway height would allow 98% of adult men to fit without bending?

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